All categories

4 years ago

PLEASE HELP!!! 15 POINTS! The histogram shows the number of books read by book club members during the summer.

Mathematics

2 answers:

ella [17]4 years ago

4 0

A. 5/12 because 5 members read less than 6 books and there are 12 members in total

natka813 [3]4 years ago

3 0

Hello, I will try to make this as easy to understand as possible.

First, we see that there are 12 people in the Book Club, but as we see in the graph...

There are 2 persons that have read 0-2 books.

There are 3 persons that have read 3-5 books.

There are 5 persons that have read 6-9 books.

There are 2 persons that have read 9-11 books.

Since the question asks what fraction of the members read fewer than six books, we know the range would have to be between 0-6.

So the ones that are valid in this case are the 0-2 and 3-5 books, and we know that is 2+3, which equals 5, now, we just divide between 12.

The answer would be 5/12

Hope this helped! c:

You might be interested in

Which symbol will make |-8|?|-10|

Nikolay [14]

Answer:

$|-8|$

$\text{Which property is shown by } 4+(5+6)=(4+5)+6?$

$\text{It is the associative property of addition}$

You can group the addends in any combination and it won't change the result.

3 0

3 years ago

A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne

Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that $n = 533, \pi = \frac{351}{533} = 0.6585$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923$

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0

3 years ago

What is the mode and range of 45 50 47 52 53 45 51

marysya [2.9K]

Mode : 50.1 and range is 8

3 0

3 years ago

Read 2 more answers

Will give brainliest! 20 Points! Hi! Some help with these problems would be great thank you!

erica [24]

Answer:

Question 1:

Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.

Question 2:

A). y = 1.2x - 6

Question 3:

J). y = $\frac{9}{4}x - 81$

Question 4:

F). f(n) = -3n + 24 *Although it doesn't work when f(n) = 6 and n = 6*

Step-by-step explanation:

Question 2:

The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8

For parallel lines, their values of slope is the same.

So our line, that passes through point (5, 0), also has a slope of 1.2

Taking another point (x, y) on our line;

Slope = change in y ÷ change in x

1.2 = $\frac{y - 0}{x - 5}$

y = 1.2x - 1.2(5)

y = 1.2x - 6

Question 3:

The line passes x-axis at point (36, 0)

The line is perpendicular to another line whose equation is y = - $\frac{4}{9}x$ + 5

For perpendicular lines, the product of their slopes = -1

Let's say the slope of our unknown line is a ;

Given: The slope of our second line is -4/9

So,

a × -4/9 = -1

a = -1 × -9/4 = 9/4

Taking another point (x, y) on our unknown line;

Slope = change in y ÷ change in x

9/4 = $\frac{y - 0}{x - 36}$

Cross-multiplying that you get;

y = $\frac{9}{4}x - 81$

Question 4:

The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6

3 0

4 years ago

Read 2 more answers

One gallon is 3.8 litres. How many litres will you need for 675 square ft? Show your work!

vazorg [7]

Answer:

2565 square ft

Step-by-step explanation:

675 x 3.8 = 2565 square feet

6 0

3 years ago